1984046400 has 504 divisors, whose sum is σ = 8369117120. Its totient is φ = 453496320.

The previous prime is 1984046381. The next prime is 1984046413. The reversal of 1984046400 is 46404891.

It is a happy number.

1984046400 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283435197 + ... + 283435203.

Almost surely, 2^1984046400 is an apocalyptic number.

1984046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184558560).

1984046400 is an abundant number, since it is smaller than the sum of its proper divisors (6385070720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1984046400 is an frugal number, since it uses more digits than its factorization.

1984046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1984046400 is about 44542.6357549708. The cubic root of 1984046400 is about 1256.5620565833.

The spelling of 1984046400 in words is "one billion, nine hundred eighty-four million, forty-six thousand, four hundred".